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The question asks about the time on a clock where the hands form an angle of 150°. Let's break it down:

### Key concept:
- A clock is circular, and the full circle is 360°.
- There are 12 hours on a clock, so the angle between each hour mark is \( \frac{360^\circ}{12} = 30^\circ \).

### Step 1: General formula for the angle between the hour and minute hands
The angle formed between the hour and minute hands can be calculated using the following formula:

\[
\theta = \left| 30 \times H - \frac{11}{2} \times M \right|
\]

Where:
- \( H \) is the hour.
- \( M \) is the number of minutes past the hour.

### Step 2: Applying the possible times
Let's consider each option:

1. **4:00**:
   - Hour hand is at 4.
   - Minute hand is at 12.
   \[
   \theta = \left| 30 \times 4 - \frac{11}{2} \times 0 \right| = |120^\circ| = 120^\circ
   \]
   This is not 150°.

2. **5:00**:
   - Hour hand is at 5.
   - Minute hand is at 12.
   \[
   \theta = \left| 30 \times 5 - \frac{11}{2} \times 0 \right| = |150^\circ|
   \]
   This is exactly 150°.

3. **9:00**:
   - Hour hand is at 9.
   - Minute hand is at 12.
   \[
   \theta = \left| 30 \times 9 - \frac{11}{2} \times 0 \right| = |270^\circ|
   \]
   This is not 150°.

4. **10:00**:
   - Hour hand is at 10.
   - Minute hand is at 12.
   \[
   \theta = \left| 30 \times 10 - \frac{11}{2} \times 0 \right| = |300^\circ|
   \]
   This is not 150°.

### Conclusion:
The correct time when the clock forms a 150° angle is **5:00 (Option B)**.

Would you like further details, or do you have any other questions? Here are 5 related questions to think about:

1. How would the angle change if the time was 5:15?
2. What angle is formed at 6:00?
3. How many degrees does the hour hand move per minute?
4. How would you calculate the angle at 4:30?
5. What other times could form a 150° angle?

**Tip:** To estimate clock angles quickly, remember that the hour hand moves 0.5° per minute!

Las manecillas de un reloj forman un ángulo de 150°. ¿Qué hora podría ser?

Learn how to calculate the time when the hands of a clock form an angle of 150 degrees. This geometry problem applies the clock angle formula, and is suitable for students in Grades 6-8.

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